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Finding the Fourth Proportional to 25,756.86, 38,638.12 and 8,222.60

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Solution

The fourth proportional to 25,756.86, 38,638.12 and 8,222.60 is: 12,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,756.86 : 38,638.12 = 8,222.60 : x
  2. Step 2: Convert to fraction form
    25,756.86/38,638.12 = 8,222.60/x
  3. Step 3: Cross multiply
    25,756.86x = 38,638.12 × 8,222.60
  4. Step 4: Simplify right side
    25,756.86x = 317,705,805.51
  5. Step 5: Solve for x
    x = 317,705,805.51/25,756.86
  6. Step 6: Final answer
    x = 12,334.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.